What is the Least Common Multiple of 6024 and 6029?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 6024 and 6029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6024 and 6029, than apply into the LCM equation.

GCF(6024,6029) = 1
LCM(6024,6029) = ( 6024 × 6029) / 1
LCM(6024,6029) = 36318696 / 1
LCM(6024,6029) = 36318696

Least Common Multiple (LCM) of 6024 and 6029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6024 and 6029. First we will calculate the prime factors of 6024 and 6029.

Prime Factorization of 6024

Prime Factorization of 6029

Now multiplying the highest exponent prime factors to calculate the LCM of 6024 and 6029.

LCM(6024,6029) = 2³ × 3¹ × 251¹ × 6029¹
LCM(6024,6029) = 36318696